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stellarik [79]
3 years ago
15

Please help!! I really need help! 4. Solve using 1 transformation 3/4a=24 please show work and the 3/4 is a fraction.

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

3/4a=24

first divide 3/4 from 24

getting...

a=32

To test this put 32 in the place of a

3/4(32)=24

so a=32

An easier way to do this is make the fraction a decimal to do so divide them as following 3/4 would be divided as 3/4 making it .75

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Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of i
saw5 [17]

Answer:

I = - 7 \cdot \ln|e^{x}+7| + 9 \cdot \ln|e^{x}+9| + C

Step-by-step explanation:

Let consider the following algebraical substitution:

u = e^{x}

du = e^{x} dx

The integral is re-arranged to this form:

I = 2 \cdot \int\ {\frac{u\ du}{u^{2}+16\cdot u + 63} } \, dx

After doing some algebraical manipulation, the rational form of this integral is:

I = -\int {\frac{7}{u + 7} } \, dx + \int {\frac{9}{u + 9} } \, dx \\

The solution of this integral is:

I = - 7 \cdot \ln|u+7| + 9 \cdot \ln|u+9| + C

I = - 7 \cdot \ln|e^{x}+7| + 9 \cdot \ln|e^{x}+9| + C

6 0
4 years ago
What is the inequality of the graph?
igomit [66]
I believe it is 4 if not 4/1
8 0
4 years ago
A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone t
Lilit [14]
The answer is 1 over 3(3.14)(5²)(8) 

The volume of the cylinder (V1) is:
V1 = π · r² · h                (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h         (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8   which is the same as 1 over 3(3.14)(5²)(8). 

6 0
3 years ago
Read 2 more answers
The expression (2x^2+6x+5)-(6x^2+3x+5) is equivalent to
oksano4ka [1.4K]

Answer:

-4x^2+3x


Step-by-step explanation:

collect like terms

(2x^2-6x^2) + (6x-3x) + (5-5)

simplify

-4x^2 + 3x

7 0
4 years ago
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
netineya [11]

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + \frac{x}{2} = 13, that is

x + 1 + \frac{x}{2} = 13 ( subtract 1 from both sides )

x + \frac{x}{2} = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and \frac{x}{2} = \frac{8}{2} = 4 , then

The shortest side is x - 5 = 3 in

7 0
3 years ago
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